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=== Geometric Algebra === |
=== Geometric Algebra === |
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+ | The [http://www.predictivestatmech.org/code/galg.py Multivector] class implements geometric algebra using Python's operator overloading. It works with minimal space for any number of spatial dimensions, since it's not based on the matrix / spinor representation of Clifford algebra. Instead, it takes the basis blade approach recommended by Dorst, Fondijne, and Mann [http://www.geometricalgebra.net]. It's really just as easy as ordering all the basis vectors, and keeping track of the commutator (+/- <math>\hat 1</math>). |
Revision as of 18:32, 23 June 2013
Python Libraries
Geometric Algebra
The Multivector class implements geometric algebra using Python's operator overloading. It works with minimal space for any number of spatial dimensions, since it's not based on the matrix / spinor representation of Clifford algebra. Instead, it takes the basis blade approach recommended by Dorst, Fondijne, and Mann [1]. It's really just as easy as ordering all the basis vectors, and keeping track of the commutator (+/- <math>\hat 1</math>).
